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» The rank-width of Directed Graphs
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69
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WG
2007
Springer
15 years 4 months ago
Characterization and Recognition of Digraphs of Bounded Kelly-width
Kelly-width is a parameter of directed graphs recently proposed by Hunter and Kreutzer as a directed analogue of treewidth. We give several alternative characterizations of direct...
Daniel Meister, Jan Arne Telle, Martin Vatshelle
GC
2010
Springer
14 years 8 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
83
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ICALP
2011
Springer
14 years 1 months ago
Steiner Transitive-Closure Spanners of Low-Dimensional Posets
Given a directed graph G = (V, E) and an integer k ≥ 1, a Steiner k-transitive-closure-spanner (Steiner k-TC-spanner) of G is a directed graph H = (VH , EH ) such that (1) V ⊆ ...
Piotr Berman, Arnab Bhattacharyya, Elena Grigoresc...
215
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Book
1197views
16 years 8 months ago
Graph Theory with Applications
A classic book on graph theory.
J.A. Bondy and U.S.R. Murty
SIGMETRICS
2010
ACM
147views Hardware» more  SIGMETRICS 2010»
14 years 8 months ago
On random walks in direction-aware network problems
Graph theory provides a powerful set of metrics and conceptual ideas to model and investigate the behavior of communication networks. Most graph-theoretical frameworks in the netw...
Ali Tizghadam, Alberto Leon-Garcia